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Finding the Third Proportional to 183,536 and 271,890

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Solution

The third proportional to 183,536 and 271,890 is: 402,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,536 : 271,890 = 271,890 : x
  2. Step 2: Convert to fraction form
    183,536/271,890 = 271,890/x
  3. Step 3: Cross multiply
    183,536x = 271,890 × 271,890
  4. Step 4: Simplify right side
    183,536x = 73,924,172,100
  5. Step 5: Solve for x
    x = 73,924,172,100/183,536
  6. Step 6: Final answer
    x = 402,777.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.